A theorem proved by É. Cartan in 1913 which classifies the irreducible representations of complex semisimple Lie algebras.
Highest Weight Theorem
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References
Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.Referenced on Wolfram|Alpha
Highest Weight TheoremCite this as:
Weisstein, Eric W. "Highest Weight Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HighestWeightTheorem.html